Download App

Mechanical Properties of Solids — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsMechanical Properties of Solids5 Marks
Question
A rubber string 10m long is suspended from a rigid support at its one end. Calculate the extension in the string due to its own weight. The density of rubber is 1.5 × 103kg/ m and Young's modulus for the rubber is 5 × 100N/ m2.
The breaking stress for a metal is 7.8 × 109N/ m2. Calculate the maximum length of the wire made of this metal with may be suspended without breaking. The density of metal = 7.8 × 103kg/ m3.
✓

Answer


$\text{l}=10\text{m}.\rho=1.5\times10^3\text{kg/m}^3$
$\text{Y}=5\times10^6\text{N/m}^2$
We know, $\text{Y}=\frac{\text{F}.\text{l}}{\text{A}.\Delta\text{l}}$
Eficient force = Mg
Consider a small length dy at a distance y from free end.
The length above this, (l - y) will experience a force of $\text{F}_{\text{dx}}=\frac{\text{M}}{\text{l}}(\text{dy}).\text{gdy}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Mechanical Properties of Solids→Mechanical Properties of Solids — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

A cycle followed by an engine (made of one mole of an ideal gas in a cylinder with a piston) is shown in Fig. Find heat exchanged by the engine, with the surroundings for each section of the cycle. (Cv = (3/2) R)

AB : constant volume

BC : constant pressur

CD : adiabati

DA : constant pressure

→
Calculate the moment of inertia of uniform circular disc of mass 500 g , radius 10 cm about
i. diameter of the disc
ii. the axis tangent to the disc and parallel to its diameter and
iii. the axis through the centre of the disc and perpendicular to its plane.
→
Calculate the total torque acting on the body shown in figure about the point O.

→
What is capillarity? Establish the formula for the height of water column rising in the capillary tube.
→
If one mole of a monoatomic gas is mixed with three moles of a diatomic gas. What is the molar specific heat of mixture at constant value? [Take, R = 8.31 Jmol-1K-1]
→
Find the capacitances of the capacitors shown in figure. The plate area is A and the separation between the plates is d. Different dielectric slabs in a particular part of the figure are of the same thickness and the entire gap between the plates is filled with the dielectric slabs.



→
A piano wire A vibrates at a fundamental frequency of 600Hz. A second identical wire B produces 6 beats per second with it when the tension in A is slightly increased. Find the ratio of the tension in A to the tension in B.
→
Find the acceleration of rod B and wedge A in the arrangement shown in figure, if the ratio of the mass of wedge to that of rod equals n and there is no friction between any contact surfaces.

→
A spherical tungsten piece of radius 1.0cm is suspended in an evacuated chamber maintained at 300K. The piece is maintained at 1000K by heating it electrically. Find the rate at which the electrical energy must be supplied. The emissivity of tungsten is 0.30 and the Stefan constant $\sigma$ is 6.0 × 10-8Wm-2K-4.
→
Calculate the increase in the internal energy of 10g of water when it is heated from 0°C to 100°C and converted into steam at 100kPa. The density of steam= 0.6kg/ m-3. Specific heat capacity of water = 4200J/ kg-1°C-1 and the Jatent heat of vaporization of water = 2.25 × 106J/kg-1.
→